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Finding the Fourth Proportional to 142,014.40, 195,979.62 and 78,352

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Solution

The fourth proportional to 142,014.40, 195,979.62 and 78,352 is: 108,125.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,014.40 : 195,979.62 = 78,352 : x
  2. Step 2: Convert to fraction form
    142,014.40/195,979.62 = 78,352/x
  3. Step 3: Cross multiply
    142,014.40x = 195,979.62 × 78,352
  4. Step 4: Simplify right side
    142,014.40x = 15,355,395,186.24
  5. Step 5: Solve for x
    x = 15,355,395,186.24/142,014.40
  6. Step 6: Final answer
    x = 108,125.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.